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Finding the Fourth Proportional to 23,383.32, 32,266.08 and 13,950

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Solution

The fourth proportional to 23,383.32, 32,266.08 and 13,950 is: 19,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.32 : 32,266.08 = 13,950 : x
  2. Step 2: Convert to fraction form
    23,383.32/32,266.08 = 13,950/x
  3. Step 3: Cross multiply
    23,383.32x = 32,266.08 × 13,950
  4. Step 4: Simplify right side
    23,383.32x = 450,111,816
  5. Step 5: Solve for x
    x = 450,111,816/23,383.32
  6. Step 6: Final answer
    x = 19,249.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.